Mathematics – Commutative Algebra
Scientific paper
2011-10-11
Mathematics
Commutative Algebra
14 pages
Scientific paper
We study two subcategories of the category of artinian modules, a wide
subcategory and a Serre subcategory. We prove that all wide subcategories of
artinian modules are Serre subcategories. We also provide the bijection between
the set of Serre subcategories and the set of specialization closed subsets of
the set of closed prime ideals of some completed ring.
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